I'm building up to do Eastwood to Kariong and within the next two weekends I am going to ride Eastwood to Berowra.
Because there isn't much for me to do when I get there and I don't want to ride the ...

In the UK I have never seen a public bus system that allows you to take a (non-folding) bike on the bus. (There are long distance coaches that do allow bikes, however I am asking about local busses.)
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Do I need a folding bike to do this? What are the rules? Also, even if it's allowed, is it practical to do so? Subways get pretty crowded during rush-hour, and it's hard to imagine taking a bike there ...